The generator matrix 1 0 0 1 1 1 2 0 1 1 0 1 1 2 4 1 0 1 4 1 6 0 4 1 2 2 6 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 1 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 2 3 1 0 0 5 1 2 7 1 2 6 1 2 0 5 1 2 1 6 4 0 0 1 1 4 0 7 4 0 3 7 0 4 4 5 3 0 6 1 1 6 7 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 3 2 3 2 3 1 0 2 3 1 0 3 1 3 6 4 1 1 2 7 6 1 4 6 7 2 0 3 7 6 2 3 1 2 0 4 1 0 3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 0 6 2 0 2 2 0 2 0 4 2 6 2 4 4 2 6 2 4 6 4 0 0 6 6 2 6 2 6 2 2 4 6 2 0 0 2 0 2 2 6 6 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 4 0 4 0 4 0 4 0 0 4 0 0 0 4 0 0 0 4 4 4 0 0 4 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 4 0 0 4 0 4 0 4 0 4 0 0 4 4 0 4 4 0 4 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 4 4 0 0 4 0 4 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 4 4 4 0 4 0 4 0 0 4 0 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+7x^40+32x^41+56x^42+94x^43+132x^44+224x^45+255x^46+354x^47+415x^48+554x^49+856x^50+770x^51+674x^52+768x^53+827x^54+624x^55+455x^56+402x^57+401x^58+354x^59+502x^60+676x^61+1399x^62+1740x^63+3330x^64+3080x^65+5358x^66+4534x^67+7422x^68+4766x^69+5560x^70+3256x^71+3247x^72+1638x^73+1375x^74+604x^75+535x^76+380x^77+358x^78+428x^79+484x^80+596x^81+832x^82+752x^83+663x^84+728x^85+864x^86+620x^87+449x^88+408x^89+222x^90+172x^91+91x^92+72x^93+52x^94+34x^95+20x^96+10x^97+12x^98+5x^100+2x^101+5x^102 The gray image is a code over GF(2) with n=272, k=16 and d=80. This code was found by Heurico 1.16 in 99.6 seconds.